Q: What are the factor combinations of the number 341,205,007?

 A:
Positive:   1 x 34120500711 x 3101863713 x 2624653947 x 7259681143 x 2386049517 x 659971611 x 5584376721 x 50767
Negative: -1 x -341205007-11 x -31018637-13 x -26246539-47 x -7259681-143 x -2386049-517 x -659971-611 x -558437-6721 x -50767


How do I find the factor combinations of the number 341,205,007?

Unfortunately, there's not simple formula to identifying all of the factors of a number and it can be a tedious process when trying to identify the divisors of larger numbers. To find the factor combinations of the number 341,205,007, it is easier to work with a table - it's called factoring from the outside in.

Outside in Factoring

We start by creating a table and writing 1 on the left side and then the number we're trying to find the factors for on the right side in a table. Then, below that, write the numbers as a negative as well.

1 341,205,007
-1 -341,205,007

Why are the negative numbers included?

When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 341,205,007.

Example:
1 x 341,205,007 = 341,205,007
and
-1 x -341,205,007 = 341,205,007
Notice both answers equal 341,205,007

With that explanation out of the way, let's continue. Next, we take the number 341,205,007 and divide it by 2:

341,205,007 ÷ 2 = 170,602,503.5

If the quotient is a whole number, then 2 and 170,602,503.5 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 341,205,007
-1 -341,205,007

Now, we try dividing 341,205,007 by 3:

341,205,007 ÷ 3 = 113,735,002.3333

If the quotient is a whole number, then 3 and 113,735,002.3333 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 341,205,007
-1 -341,205,007

Let's try dividing by 4:

341,205,007 ÷ 4 = 85,301,251.75

If the quotient is a whole number, then 4 and 85,301,251.75 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 341,205,007
-1 341,205,007
Keep dividing by the next highest number until you cannot divide anymore.

If you did it right, you will end up with this table:

11113471435176116,72150,767558,437659,9712,386,0497,259,68126,246,53931,018,637341,205,007
-1-11-13-47-143-517-611-6,721-50,767-558,437-659,971-2,386,049-7,259,681-26,246,539-31,018,637-341,205,007

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